513865 has 8 divisors (see below), whose sum is σ = 672768. Its totient is φ = 373680.

The previous prime is 513841. The next prime is 513871. The reversal of 513865 is 568315.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 513865 - 2⁹ = 513353 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4617 + ... + 4726.

It is an arithmetic number, because the mean of its divisors is an integer number (84096).

2⁵¹³⁸⁶⁵ is an apocalyptic number.

513865 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

513865 is a deficient number, since it is larger than the sum of its proper divisors (158903).

513865 is a wasteful number, since it uses less digits than its factorization.

513865 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9359.

The product of its digits is 3600, while the sum is 28.

The square root of 513865 is about 716.8437765650. The cubic root of 513865 is about 80.0970177136.

It can be divided in two parts, 513 and 865, that added together give a triangular number (1378 = T₅₂).

The spelling of 513865 in words is "five hundred thirteen thousand, eight hundred sixty-five".